메뉴 건너뛰기




Volumn 3, Issue 2, 1996, Pages 231-239

Absolute continuity of bernoulli convolutions, a simple proof

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0030497277     PISSN: 10732780     EISSN: None     Source Type: Journal    
DOI: 10.4310/MRL.1996.v3.n2.a8     Document Type: Article
Times cited : (151)

References (20)
  • 3
    • 0001126766 scopus 로고
    • On a family of symmetric Bernoulli convolutions
    • 3. P. Erdo″s, On a family of symmetric Bernoulli convolutions, Amer. J. Math. 61 (1939), 974-975.
    • (1939) Amer. J. Math. , vol.61 , pp. 974-975
    • Erdos, P.1
  • 4
    • 0001012461 scopus 로고
    • On the smoothness properties of Bernoulli convolutions
    • 4. _, On the smoothness properties of Bernoulli convolutions, Amer. J. Math. 62 (1940), 180-186.
    • (1940) Amer. J. Math. , vol.62 , pp. 180-186
  • 5
    • 84971877531 scopus 로고
    • Hausdorff dimension and the exceptional set of projections
    • 5. K. Falconer, Hausdorff dimension and the exceptional set of projections, Mathematika 29 (1982), 109-115.
    • (1982) Mathematika , vol.29 , pp. 109-115
    • Falconer, K.1
  • 6
    • 0000423920 scopus 로고
    • Arithmetic properties of Bernoulli convolutions
    • 6. A. M. Garsia, Arithmetic properties of Bernoulli convolutions, Trans. Amer. Math. Soc. 102 (1962), 409-432.
    • (1962) Trans. Amer. Math. Soc. , vol.102 , pp. 409-432
    • Garsia, A.M.1
  • 8
    • 84968468742 scopus 로고
    • Distribution functions and the Riemann zeta function
    • 8. B. Jessen and A. Wintner, Distribution functions and the Riemann zeta function, Trans. Amer. Math. Soc. 38 (1935), 48-88.
    • (1935) Trans. Amer. Math. Soc. , vol.38 , pp. 48-88
    • Jessen, B.1    Wintner, A.2
  • 9
    • 0001541363 scopus 로고
    • Sur la distribution de certaines series aleatoires
    • Colloque Th. Nombres [1969, Bordeaux]
    • 9. J. P. Kahane, Sur la distribution de certaines series aleatoires, Colloque Th. Nombres [1969, Bordeaux], Bull. Soc. math. France, Mémoire 25 (1971), 119-122.
    • (1971) Bull. Soc. Math. France, Mémoire , vol.25 , pp. 119-122
    • Kahane, J.P.1
  • 10
    • 0011422350 scopus 로고
    • Sur la convolution d'une infinité de distributions de Bernoulli
    • 10. J. P. Kahane and R. Salem, Sur la convolution d'une infinité de distributions de Bernoulli, Colloq. Math. 6 (1958), 193-202.
    • (1958) Colloq. Math. , vol.6 , pp. 193-202
    • Kahane, J.P.1    Salem, R.2
  • 11
    • 0000826920 scopus 로고
    • On symmetric Bernoulli convolutions
    • 11. R. Kershner and A. Wintner, On symmetric Bernoulli convolutions, Amer. J. Math. 57 (1935), 541-548.
    • (1935) Amer. J. Math. , vol.57 , pp. 541-548
    • Kershner, R.1    Wintner, A.2
  • 12
    • 0000416849 scopus 로고
    • On the dimension of some graphs
    • 12. F. Ledrappier, On the dimension of some graphs, Contemporary Math. 135 (1992), 285-293.
    • (1992) Contemporary Math. , vol.135 , pp. 285-293
    • Ledrappier, F.1
  • 13
    • 0000528266 scopus 로고
    • Orthogonal projections, Riesz capacities and Minkowski content
    • 13. P. Mattila, Orthogonal projections, Riesz capacities and Minkowski content, Indiana University Math. J. 39 (1990), 185-198.
    • (1990) Indiana University Math. J. , vol.39 , pp. 185-198
    • Mattila, P.1
  • 16
    • 0000922897 scopus 로고
    • The Hausdorff dimension of λ-expansions with deleted digits
    • 16. M. Pollicott and K. Simon, The Hausdorff dimension of λ-expansions with deleted digits, Trans. Amer. Math. Soc. 347 (1995), 967-983.
    • (1995) Trans. Amer. Math. Soc. , vol.347 , pp. 967-983
    • Pollicott, M.1    Simon, K.2
  • 17
    • 0000690674 scopus 로고
    • On Hausdorff dimension of some fractal sets
    • 17. F. Przytycki and M. Urbański, On Hausdorff dimension of some fractal sets, Studia Math. 93 (1989), 155-186.
    • (1989) Studia Math. , vol.93 , pp. 155-186
    • Przytycki, F.1    Urbański, M.2
  • 18
    • 0011461662 scopus 로고
    • On sets of uniqueness and sets of multiplicity
    • 18. R. Salem, On sets of uniqueness and sets of multiplicity, Trans. Amer. Math. Soc. 54 (1943), 218-228.
    • (1943) Trans. Amer. Math. Soc. , vol.54 , pp. 218-228
    • Salem, R.1
  • 19
    • 0000660967 scopus 로고
    • i (an Erdo″s problem)
    • i (an Erdo″s problem), Ann. of Math. 142 (1995), 611-625.
    • (1995) Ann. of Math. , vol.142 , pp. 611-625
    • Solomyak, B.1
  • 20
    • 0011483854 scopus 로고
    • On convergent Poisson convolutions
    • 20. A. Wintner, On convergent Poisson convolutions, Amer. J. Math. 57 (1935), 827-838.
    • (1935) Amer. J. Math. , vol.57 , pp. 827-838
    • Wintner, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.